7
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d22f53f5-ba80-4065-a94b-2a9c92c20dfb-2_696_879_960_673}
\captionsetup{labelformat=empty}
\caption{Fig. 13}
\end{figure}
Fig. 13 shows the curve \(y = x ^ { 4 } - 2\).
- Find the exact coordinates of the points of intersection of this curve with the axes.
- Find the exact coordinates of the points of intersection of the curve \(y = x ^ { 4 } - 2\) with the curve \(y = x ^ { 2 }\).
- Show that the curves \(y = x ^ { 4 } - 2\) and \(y = k x ^ { 2 }\) intersect for all values of \(k\).